# The total number of ways of selecting six coins out of 20 one rupee coins, 10 fifty paise coins and 7 twenty-five paise coins is: Option 1) 28 Option 2) 56 Option 3) 37C6 Option 4) None of these

As learnt in

Theorem of Combination -

Each of the different groups or selection which can be made by taking r things from n things is called a combination.

$^{n}c_{r}=\frac{(n)!}{r!(n-r)!}$

- wherein

Where $1\leq r\leq n$

Total coins=37

Number of selections=37C6

Option 1)

28

This option is incorrect.

Option 2)

56

This option is incorrect.

Option 3)

37C6

This option is correct.

Option 4)

None of these

This option is incorrect.

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